Solve the system by the AdditionElimination method x2 y2 1

Solve the system by the Addition/Elimination method

x^2 + y^2 = 164

x^2 - y^2 = 36

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x^2 + y^2 = 164

x^2 - y^2 = 36

Adding the two equations we get

2x^2 = 200

x^2 = 100

x = + 10

Subtracting the two equations we get

2y^2 = 128

y^2 = 64

y = + 8

Hence The solution to above equations are (10,8), (-10,8), (10,-8), (-10,-8)

Solution